Exercise: Automatic Control Systems

Questions for: Automatic Control Systems

In the given figure, C(s) =
A:
B:
C:
D:
Answer: B

Use principle of superposition. Initially assume R(s) = 0 and find C(s).

Then assume U(s) = 0 and find C(s). Add the two responses.

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The primary function of lag compensator is to provide sufficient
A:
gain margin
B:
phase margin
C:
both gain margin and phase margin
D:
either (a) or (b)
Answer: B

It changes phase.

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The magnitude of transport lag factor is always zero.
A:
True
B:
False
C:
D:
Answer: B

It is not always zero.

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In Bode diagram (log magnitude plot) the factor (jω)n in the transfer function gives a line having slope
A:
20 dB/decade
B:
20n dB/decade
C:
D:
-20n dB/decade
Answer: B

For (jω)n term the slope is (20 n) dB/decade.

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The entries in the first column of Routh array of a fourth order are 5, 2, - 0.1, 2, 1. The number of poles in the right half plane are
A:
1
B:
2
C:
3
D:
4
Answer: B

Two sign changes and hence two poles in right half plane.

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